The given sequence is: 7, 20, 47, 94. 

To find the next term or a pattern in this sequence, let's first analyze the differences between consecutive terms:

1. \( 20 - 7 = 13 \)
2. \( 47 - 20 = 27 \)
3. \( 94 - 47 = 47 \)

We observe that the differences are increasing in a specific pattern. Let's examine the differences between these differences:

1. \( 27 - 13 = 14 \)
2. \( 47 - 27 = 20 \)

So, the differences themselves are increasing by 6 each time (14, 20,...). If this pattern continues, the next difference should be:

\( 47 + (20 + 6) = 47 + 26 = 73 \)

Therefore, the next term in the sequence is:

\( 94 + 73 = 167 \)

### The next term in the sequence is **167**.

Would you like a detailed explanation or further analysis on this sequence?

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Here are some related questions you might consider:

1. Can we derive a general formula for this sequence?
2. What kind of sequence is this (e.g., arithmetic, quadratic)?
3. How does finding second differences help identify patterns in sequences?
4. What is the importance of higher-order differences in sequence analysis?
5. Can this pattern be modeled by a polynomial equation?

**Tip:** When analyzing number sequences, checking differences and second differences often helps detect hidden patterns.

The query submitted by the user: 7, 20, 47, 94

Explore how to identify the pattern in the sequence 7, 20, 47, 94 using difference methods and predict the next term. This detailed explanation covers higher-order differences and how they help in detecting patterns in non-linear sequences. Ideal for Grades 7-10.

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